Algebra Examples

$12 x - (8 - 9 x + 3 x^{2}) + 6 x^{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$12 x - 1 \cdot 8 - (- 9 x) - (3 x^{2}) + 6 x^{2}$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 1$ by $8$ .

$12 x - 8 - (- 9 x) - (3 x^{2}) + 6 x^{2}$

Step 1.2.2

Multiply $- 9$ by $- 1$ .

$12 x - 8 + 9 x - (3 x^{2}) + 6 x^{2}$

Step 1.2.3

Multiply $3$ by $- 1$ .

$12 x - 8 + 9 x - 3 x^{2} + 6 x^{2}$

$12 x - 8 + 9 x - 3 x^{2} + 6 x^{2}$

$12 x - 8 + 9 x - 3 x^{2} + 6 x^{2}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Add $12 x$ and $9 x$ .

$21 x - 8 - 3 x^{2} + 6 x^{2}$

Step 2.2

Add $- 3 x^{2}$ and $6 x^{2}$ .

$21 x - 8 + 3 x^{2}$

Step 2.3

Simplify the expression.

Tap for more steps...

Step 2.3.1

Move $- 8$ .

$21 x + 3 x^{2} - 8$

Step 2.3.2

Reorder $21 x$ and $3 x^{2}$ .

$3 x^{2} + 21 x - 8$

$3 x^{2} + 21 x - 8$

$3 x^{2} + 21 x - 8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$